Question

A system of equations is shown:

2x = -y + 6
- 4x + 3y = 8

What is the solution to this system of equations?

(-1,-4)
(1,4)
(4,1)
(-4,-1)​

Answer 1

(1,4)

Explanation:

i just did the quiz and it was correct

Answer 2

(1, 4)

Explanation:

`\left\{\begin{array}{ccc}2x=-y+6&(1)\\-4x+3y=8&(2)\end{array}\right\\\\(1)\\-y+6=2x\qquad\text{subtract 6 from both sides}\\-y=2x-6\qquad\text{change the signs}\\y=6-2x\\\\\text{substitute it to (2):}\\\\(2)\\-4x+3(6-2x)=8\qquad\text{use the distributive property}\\-4x+(3)(6)+(3)(-2x)=8\\-4x+18-6x=8\qquad\text{subtract 18 from both sides}\\-10x=-10\qquad\text{divide both sides by (-10)}\\x=1\\\\\text{put the value of x to (1):}\\\\y=6-2(1)\\y=6-2\\y=4`